Question

Al simplificar de manera completa
$\sqrt[6]{81 {a}^{24} } {b}^{12} {c}^{8}$
¿Cuanto se obtiene?​

Answer 1

Al simplificar de manera completa

$\sqrt[6]{81 {a}^{24} {b}^{12} {c}^{8} }$

cuanto se obtiene?

$\sqrt[6]{ {3}^{4} {a}^{24} {b}^{12} {c}^{8} \div 2 }$

$\sqrt[3]{ {3}^{2} {a}^{12} {b}^{6} {c}^{4} }$

${a}^{4} {b}^{2} {c} \sqrt[3]{9c}$

Answer 2

Hola!

¡Comencemos!

81 |3

29|3 - 3⁴

9 |3

3 |3

(1)

$\sqrt[6]{81a {}^{24} b {}^{12}c {}^{8} = } \\ \sqrt[6]{34 {}^{2} a {}^{24} 2b {}^{12}2c {}^{8} \div 2 =} \\ \sqrt[3]{3 {}^{2}4 {}^{12} b {}^{6} c {}^{4} = } \\ a {}^{4} b {}^{2} c {}^{3} \sqrt{9c}$

Espero haberte ayudado.